On some applications of the Sagnac effect

Considering exact spacetimes representing rotating black holes and naked singularities, we study the possibility that the Sagnac effect detects i) higher dimensions, ii) rotation of black holes in higher dimension, and also, iii) distinguishes black holes from naked singularities. The results indicate that the Sagnac time delay gets affected by the presence of extra-dimension or its associated angular momentum. This time delay is also different in the spacetime of a naked singularity compared to that of a black hole. Hence, the Sagnac effect may be used as an experiment for better understanding of spacetimes with higher dimensions or those that admit naked singularities.

Automated summary

This study investigates the Sagnac effect in exact spacetimes representing rotating black holes and naked singularities. The results indicate that the Sagnac time delay is influenced by the presence of extra-dimensions and angular momentum. Furthermore, the time delay differs between the spacetime of a naked singularity and that of a black hole. Therefore, the Sagnac effect can be utilized as an experimental tool to enhance our understanding of spacetimes with higher dimensions or those that include naked singularities.